Walsh Equiconvergence of Complex Interpolating Polynomials [electronic resource] /
Jakimovski, Amnon.author.
Sharma, Ambikeshwar.author.
Szabados, József.author.
A collection of the various old and new results, centered around the following simple observation of J L Walsh. This book is particularly useful for researchers in approximation and interpolation theory.
A collection of the various old and new results, centered around the following simple observation of J L Walsh. This book is particularly useful for researchers in approximation and interpolation theory.
Includes bibliographical references.
Lagrange Interpolation and Walsh Equiconvergence -- Hermite and Hermite-Birkhoff Interpolation and Walsh Equiconvergence -- A Generalization of the Taylor Series to Rational Functions and Walsh Equiconvergence -- Sharpness Results -- Converse Results -- Padé Approximation and Walsh Equiconvergence for Meromorphic Functions with ?–Poles -- Quantitative Results in the Equiconvergence of Approximation of Meromorphic Functions -- Equiconvergence for Functions Analytic in an Ellipse -- Walsh Equiconvergence Theorems for the Faber Series -- Equiconvergence on Lemniscates -- Walsh Equiconvergence and Equisummability.
Approximation theory.
Mathematical analysis.
Calculus.
Functions of complex variables.
Sequences (Mathematics).
Approximations and Expansions.
Analysis.
Functions of a Complex Variable.
Sequences, Series, Summability.
Several Complex Variables and Analytic Spaces.
Springer Monographs in Mathematics